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We have to find the least number that must be subtracted from 13801 to get a number exactly divisible by 87
So, first we will divide 13801 by 87
Remainder = 55
The number 55 should be subtracted from 13801 to get a number divisible by 87.
i.e., 13801 − 55 = 13746
∴ 13746 is divisible by 87.

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    Related QuestionVideo TranscriptVideo TranscriptWhat least number must be subtracted from 1361 to get a number exactly divisible by 87?What least number must be subtracted to get a number exactly divisible by 87?What least number must be subtracted from 13801?What least number should be added to 10056 to get a number exactly divisible by 23?

First, let us divide 13601 by 87

Here, remainder = 29

Subtract 29 from 13601 to get a number exactly divisible by 87

13601 – 29 = 13572

To find the number divide 13572 by 87

∴ To make 13601 exactly divisible by 87, 29 is subtracted from 13601

We have to find the least number that must be subtracted from 13801 to get a number exactly divisible by 87
So, first we will divide 13801 by 87
  

Remainder = 55
The number 55 should be subtracted from 13801 to get a number divisible by 87.
i.e., 13801 − 55 = 13746


∴ 13746 is divisible by 87.

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Video Transcript

That's right, Mhm. Okay, okay. We're asked what must be subtracted from 13,801. The number is partitioned by 87. The first thing we need to do is figure out how many there are. Uh, and one. We could just say that I can't double that because it would be 100 and 60 and so on and so forth and so forth and so forth and so forth and so forth and so forth and so forth and so forth and so forth and so forth and so forth and so forth and I think I should do it the right way here. Five is 13 minus eight. Next number is zero. We have to figure out how many times does 87 go into 510. We're going to get some extra with that, so let's try that 1.5 times seven is 35, five times eight is 40, and that's 43. I believe we're going to be in good shape when we subtract that. I'm going to have to borrow here, what was the number? That was close to 500. We have 75 left over, so that's a seven. Bring the one down. It was 87 into 7 51. It's likely to be about eight times there. Let's see what happens, eight times seven is 56 eight times eight is 64. So 69 694. I have to borrow those again. It's 11 minus six. 5 15 is 14 -9. If you're allowed to do this on a calculator, go ahead and do it. Then it was divided by 87. It tells us it's 100 and 58.63. I do not care about that. It goes in evenly 100 and 58 times with some leftover. I'm going to figure it out, what is that? There are 87 times 100 and 58 seven times eight and six plus four. 64731 is 13,746. That is the closest multiple to 87. We can get our answer by saying that what must be subtracted must be 13,746. Let's subtract. This is where I need to borrow. I'm going to make this a 10, but I need to borrow it because it's 59 minus four. To show you why the remainder is going to be 55, because that's what we found out over here. We need to subtract 55 from 1,801 to get a multiple of 87.

Video Transcript

Mhm. Okay. So um we're asked what must there we go what must be subtracted from 13,801. So that the number is divisible by 87. Um well the first thing we should do is figure out how many how many 87 are there in 13801 13,800. Uh And one. And so we could just go ahead and just say well I can't double that because it would be 100 and 60 so and 138 87 just just going to go in once so let me go ahead and put that in there and I'm gonna subtract here. Alright 13 I guess I should do it the right way here. 13 minus eight is gonna be five. Alright bring down the next number which is zero. Uh And now we have to try and figure out how many times does 87 go into 510. Uh And you know that's gonna be something like five times eight would be 40 and we're going to get some extra with that So let's try that 1.5 times seven is 35, Five times eight is 40, that's 43. Um yeah and when we subtract that I think we're going to be in good shape I have to borrow here. Um and then I'm going to have to borrow here and that was what was that number? That was 510. So that's going to be a seven so we have 75 left over. Bring down the one. Uh and then 87 into 7 51. Uh And that's gonna be probably about eight times there. So let's see what that works out to be, eight times seven is 56 8 times eight is 64. So 69 696. Now let's subtract those I have to borrow again. 11 minus six is five. 14 -9 is 5 15. Okay so um you know I mean if you're allowed to use calculators just go ahead and do this on a calculator. 13,801 and then divided by 87. Uh And it tells us it's 100 and 58.63 blah blah blah. But I don't care about that. What I care about is it goes in evenly 100 and 58 times with some leftover. So now what I'm gonna do is I'm gonna figure out well what what is that? What is 87 times 100 and 58 7 times eight is 56 35 5 is 47 4 is 11, 8 times eight is 64 46 eight times one is eight plus four is 12. So we get 64731, that's 13,746. So that's the closest multiple of 87. So now we can finally get our answer simply by saying, well it said what must be subtracted Well and we went from 13801 and I need it to be 13,746. So let's go ahead and subtract. I need to borrow here. I'm gonna make this a 10 but now I need to borrow make it in 9 11 minus six is 59 minus four is five. And you know, I mean that's basically what we found out over here, but just to kind of show you why uh that the remainder is going to be 55. Okay, so we need to subtract 55 from 1,801 to get a multiple of 87.

What least number must be subtracted from 1361 to get a number exactly divisible by 87?

⇒ 13601 ÷ 87 will give you the quotient 156 and remainder 29. So, 29 is the least number subtracted from 13601 to get the number which is completely divisible by 87. So, the correct answer is “Option C”.

What least number must be subtracted to get a number exactly divisible by 87?

First, we will divide 13601 by 87. So, 29 must be subtracted from 13601 to get a number exactly divisible by 87.

What least number must be subtracted from 13801?

The number 55 should be subtracted from 13801 to obtain a number divisible by 87. Hence, the least number to be subtracted from 13801 so that the number will be exactly divisible by 87 is 55.

What least number should be added to 10056 to get a number exactly divisible by 23?

(d) 10. So, 18 must be added to 10056 to get a number exactly divisible by 23. Tải thêm tài liệu liên quan đến nội dung bài viết What least number must be subtract from 13801 to get a number exactly divisible by 87?

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